JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{\theta \to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{\frac{\pi }{2}-\theta }{\cot \theta }\]= [Karnataka CET 2004]

    A)                 0

    B)                 ?1

    C)                 1

    D)                 \[\infty \]

    Correct Answer: C

    Solution :

                    Using L-Hospital's rule, \[\underset{\theta \to \frac{\pi }{2}}{\mathop{\lim }}\,\frac{-1}{-\text{cose}{{\text{c}}^{\text{2}}}\theta }=1\].


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